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Finding the Fourth Proportional to 686,567.12, 947,518.77 and 380,739.43

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Solution

The fourth proportional to 686,567.12, 947,518.77 and 380,739.43 is: 525,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,567.12 : 947,518.77 = 380,739.43 : x
  2. Step 2: Convert to fraction form
    686,567.12/947,518.77 = 380,739.43/x
  3. Step 3: Cross multiply
    686,567.12x = 947,518.77 × 380,739.43
  4. Step 4: Simplify right side
    686,567.12x = 360,757,751,666.51
  5. Step 5: Solve for x
    x = 360,757,751,666.51/686,567.12
  6. Step 6: Final answer
    x = 525,451.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.